Categories for Quantum Theory: An Introduction by Chris Heunen (English) Hardcov

Description: Categories for Quantum Theory by Chris Heunen, Jamie Vicary Estimated delivery 3-12 business days Format Hardcover Condition Brand New Description Categories for Quantum Theory: An Introduction lays foundations for an approach to quantum theory that uses category theory, a branch of pure mathematics. Prior knowledge of quantum information theory or category theory helps, but is not assumed, and basic linear algebra and group theory suffices. Publisher Description Monoidal category theory serves as a powerful framework for describing logical aspects of quantum theory, giving an abstract language for parallel and sequential composition, and a conceptual way to understand many high-level quantum phenomena. This text lays the foundation for this categorical quantum mechanics, with an emphasis on the graphical calculus which makes computation intuitive. Biproducts and dual objects are introduced and used to model superpositionand entanglement, with quantum teleportation studied abstractly using these structures. Monoids, Frobenius structures and Hopf algebras are described, and it is shown how they can be used to modelclassical information and complementary observables. The CP construction, a categorical tool to describe probabilistic quantum systems, is also investigated. The last chapter introduces higher categories, surface diagrams and 2-Hilbert spaces, and shows how the language of duality in monoidal 2-categories can be used to reason about quantum protocols, including quantum teleportation and dense coding.Prior knowledge of linear algebra, quantum information or category theorywould give an ideal background for studying this text, but it is not assumed, with essential background material given in a self-contained introductory chapter. Throughout the text links with manyother areas are highlighted, such as representation theory, topology, quantum algebra, knot theory, and probability theory, and nonstandard models are presented, such as sets and relations. All results are stated rigorously, and full proofs are given as far as possible, making this book an invaluable reference for modern techniques in quantum logic, with much of the material not available in any other textbook. Author Biography Chris Heunen started his undergraduate studies at the University of Nijmegen, where he received MSc degrees in both Computer Science and Mathematics, and in 2009 a PhD degree. He then did postdoctoral research at the University of Oxford and the California Institute of Technology. His work was awarded the 2012 Birkhoff-von Neumann prize for research on quantum structures. In 2015 he joined the University of Edinburgh.Jamie Vicary did an undergraduate degree in Physics in Oxford, followed by the Part III Mathematics course in Cambridge. He did a PhD in category theory and quantum information with Christopher Isham at Imperial College London, which was awarded in 2009. Since that time he has done research into the mathematical foundations of quantum computation, with positions in Oxford, Singapore and Birmingham. Details ISBN 0198739621 ISBN-13 9780198739623 Title Categories for Quantum Theory Author Chris Heunen, Jamie Vicary Format Hardcover Year 2019 Pages 338 Publisher Oxford University Press GE_Item_ID:160670303; About Us Grand Eagle Retail is the ideal place for all your shopping needs! With fast shipping, low prices, friendly service and over 1,000,000 in stock items - you're bound to find what you want, at a price you'll love! Shipping & Delivery Times Shipping is FREE to any address in USA. Please view eBay estimated delivery times at the top of the listing. Deliveries are made by either USPS or Courier. We are unable to deliver faster than stated. International deliveries will take 1-6 weeks. NOTE: We are unable to offer combined shipping for multiple items purchased. This is because our items are shipped from different locations. Returns If you wish to return an item, please consult our Returns Policy as below: Please contact Customer Services and request "Return Authorisation" before you send your item back to us. Unauthorised returns will not be accepted. Returns must be postmarked within 4 business days of authorisation and must be in resellable condition. Returns are shipped at the customer's risk. We cannot take responsibility for items which are lost or damaged in transit. For purchases where a shipping charge was paid, there will be no refund of the original shipping charge. Additional Questions If you have any questions please feel free to Contact Us. Categories Baby Books Electronics Fashion Games Health & Beauty Home, Garden & Pets Movies Music Sports & Outdoors Toys

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